On the Boundary Ergodic Problem for Fully Nonlinear Equations in Bounded Domains with General Nonlinear Neumann Boundary Conditions
Analysis of PDEs
2015-06-26 v1
Abstract
We study nonlinear Neumann type boundary value problems related to ergodic phenomenas. The particularity of these problems is that the ergodic constant appears in the (possibly nonlinear) Neumann boundary conditions. We provide, for bounded domains, several results on the existence, uniqueness and properties of this ergodic constant.
Cite
@article{arxiv.math/0409208,
title = {On the Boundary Ergodic Problem for Fully Nonlinear Equations in Bounded Domains with General Nonlinear Neumann Boundary Conditions},
author = {Guy Barles and Francesca Da Lio},
journal= {arXiv preprint arXiv:math/0409208},
year = {2015}
}